This volume is a sequel to the author's "Introduction to Analytic Number Theory" (UTM 1976, 3rd printing 1986). It presupposes an undergraduate background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of this book is devoted to a classical treatment of elliptic and modular functions with some of their number-theoretic applications. Among the major topics covered are Rademacher's convergent series for the partition modular function, ...
Read More
This volume is a sequel to the author's "Introduction to Analytic Number Theory" (UTM 1976, 3rd printing 1986). It presupposes an undergraduate background in number theory comparable to that provided in the first volume, together with a knowledge of the basic concepts of complex analysis. Most of this book is devoted to a classical treatment of elliptic and modular functions with some of their number-theoretic applications. Among the major topics covered are Rademacher's convergent series for the partition modular function, Lehner's congruences for the Fourier coefficients of the modular function j, and Hecke's theory of entire forms with multiplicative Fourier coefficients. The last chapter gives an account of Bohr's theory of equivalence of general Dirichlet series. In addition to the correction of misprints, minor changes in the exercises and an updated bibliography, this new edition includes an alternative treatment of the transformation formula for the Dedekind eta function, which appears as a five-page supplement to chapter three.
Read Less
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £43.95, good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1976 by Springer.
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £60.91, fair condition, Sold by beneton rated 4.0 out of 5 stars, ships from Millsboro, DE, UNITED STATES, published 1989 by Springer.
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £67.46, like new condition, Sold by Books From California rated 4.0 out of 5 stars, ships from Simi Valley, CA, UNITED STATES, published 1989 by Springer.
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £70.26, good condition, Sold by BGV Books LLC rated 4.0 out of 5 stars, ships from Murray, KY, UNITED STATES, published 1976 by Springer.
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £79.21, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2012 by Springer.
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £80.84, like new condition, Sold by GreatBookPricesUK5 rated 4.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 1989 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fine. Sewn binding. Cloth over boards. 207 p. Contains: Unspecified. Graduate Texts in Mathematics, 41. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Modular Functions and Dirichlet Series in Number Theory to cart. £88.32, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 1989 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fine. Sewn binding. Cloth over boards. 207 p. Contains: Unspecified. Graduate Texts in Mathematics, 41. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Apostol's book begins with fairly standart study of elliptic functions (doubly periodic meromorphic functions) and then takes on the Dirichlet eta function aiming at Rademacher's celebrated formula for the number of partition of a given integer; a subject you could find in rademacher's book: "topics in analytical number theory" provided you can find the said book which seems to have disappearred from earth's surface; another reference would be Chandrasekharan's "Arithmetical functions" which is equally hard to find. Therefore this book is the only available textbook on the subject; should appeal to every one interested in this difficult field.
